应用小波分析研究信号消噪

The Research of the Application of Wavelet Analysis in Filtering Noise

噪声的去除一直是信号处理中较为关键的技术之一。小波变换在时、频两域都具有表征信号局部特征的能力 ,突破了传统 Fourier分析的局限性 ,很适合检测信号的奇异现象。用 Daubechies小波分别对信号本身的奇异性、噪声的奇异性进行分析 ,结果表明 ,二者具有较大的不同。因而 ,将小波用于信号消噪具有重要的参考价值。

Filtering noise is one of the key techniques in signal processing.Wavelet transform has the capability of showing local character of the signal in time domain and frequency domain.It can be used to inspect the signal detail such as singularity.The result of using Daubechies wavelet to analyze the singularity of signal and noise shows that the two ways are different greatly.Thus,it is useful to apply wavelet in filtering noise.